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Finding the Fourth Proportional to 1,828.71, 2,517.28 and 1,595.43

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Solution

The fourth proportional to 1,828.71, 2,517.28 and 1,595.43 is: 2,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.71 : 2,517.28 = 1,595.43 : x
  2. Step 2: Convert to fraction form
    1,828.71/2,517.28 = 1,595.43/x
  3. Step 3: Cross multiply
    1,828.71x = 2,517.28 × 1,595.43
  4. Step 4: Simplify right side
    1,828.71x = 4,016,144.03
  5. Step 5: Solve for x
    x = 4,016,144.03/1,828.71
  6. Step 6: Final answer
    x = 2,196.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.